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Last updated on March 13th, 2025

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5/8% as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

This is a simple question on decimal conversion. First, we need to understand percentages, fractions, and decimals. A percentage represents a fraction of 100. A fraction represents a part of a whole, with a numerator (the top number) indicating the number of parts and a denominator (the bottom number) showing how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

Professor Greenline from BrightChamps

What is 5/8% as a decimal?

5/8% as a decimal

Answer

 

5/8% as a decimal can be written as 0.00625.

 

Explanation

 

To convert 5/8% to a decimal, we first convert 5/8 into a decimal and then divide by 100 to account for the percentage. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the fraction 5/8. To convert it to a decimal, divide the numerator (5) by the denominator (8).

 

Step 2: Perform the division 5 ÷ 8, which gives 0.625.

 

Step 3: Since the original number is a percentage, divide the decimal result by 100 to convert it to a decimal form.

 

Step 4: 0.625 ÷ 100 = 0.00625.

 

Thus, 5/8% as a decimal is 0.00625.

Professor Greenline from BrightChamps

Important Glossaries for 5/8% as a decimal

  • Percentage: A fraction of 100, often used to describe proportions.
     
  • Fraction: A numerical quantity representing a part of a whole.
     
  • Decimal: A number expressed in the base ten system, using a decimal point to separate the whole part from the fractional part.
     
  • Numerator: The top number of a fraction, indicating how many parts are being considered.
     
  • Denominator: The bottom number of a fraction, showing how many parts make up a whole.
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